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Finding the Fourth Proportional to 4,471.65, 6,170.54 and 2,582.37

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Solution

The fourth proportional to 4,471.65, 6,170.54 and 2,582.37 is: 3,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.65 : 6,170.54 = 2,582.37 : x
  2. Step 2: Convert to fraction form
    4,471.65/6,170.54 = 2,582.37/x
  3. Step 3: Cross multiply
    4,471.65x = 6,170.54 × 2,582.37
  4. Step 4: Simplify right side
    4,471.65x = 15,934,604.47
  5. Step 5: Solve for x
    x = 15,934,604.47/4,471.65
  6. Step 6: Final answer
    x = 3,563.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.